Search a number
-
+
146685105 = 3257736379
BaseRepresentation
bin10001011111000…
…11110010110001
3101020000101010200
420233203302301
5300022410410
622315545413
73430542240
oct1057436261
9336011120
10146685105
1175888766
124115b269
132450b128
14156a4957
15cd273c0
hex8be3cb1

146685105 has 48 divisors (see below), whose sum is σ = 294602880. Its totient is φ = 66127104.

The previous prime is 146685101. The next prime is 146685107. The reversal of 146685105 is 501586641.

It is not a de Polignac number, because 146685105 - 22 = 146685101 is a prime.

It is a super-2 number, since 2×1466851052 = 43033040057722050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 146685105.

It is not an unprimeable number, because it can be changed into a prime (146685101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19806 + ... + 26184.

It is an arithmetic number, because the mean of its divisors is an integer number (6137560).

Almost surely, 2146685105 is an apocalyptic number.

146685105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

146685105 is an abundant number, since it is smaller than the sum of its proper divisors (147917775).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

146685105 is a wasteful number, since it uses less digits than its factorization.

146685105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6470 (or 6467 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 146685105 is about 12111.3626400996. The cubic root of 146685105 is about 527.3860913196.

The spelling of 146685105 in words is "one hundred forty-six million, six hundred eighty-five thousand, one hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 73 105 219 315 365 511 657 1095 1533 2555 3285 4599 6379 7665 19137 22995 31895 44653 57411 95685 133959 223265 287055 401877 465667 669795 1397001 2009385 2328335 3259669 4191003 6985005 9779007 16298345 20955015 29337021 48895035 146685105